Real time computer generation of three-dimensional point cloud holograms through GPU implementation of compressed sensing Gerchberg-Saxton algorithm

Abstract: Phase-only spatial light modulators can be employed to structure laser light in complex three dimensional focusing patterns, with a variety of applications. While spatial light modulators have typical refresh frequencies of tens of Hz, the computation time of three dimensional holograms ranges between a few seconds and a few minutes, therefore limiting the use of the maximum refresh rate of spatial light modulators to either pre-calculated sequences of high quality holograms, or low quality holograms only for real time update. Here, we propose the implementation of a recently developed compressed sensing Gerchberg-Saxton algorithm on a consumer graphical processor allowing the generation of high quality holograms at video rate.